For now there is just a lot of talk. But people are flying more than ever before. Including in Europe. Flights are full and tickets are expensive.
Having said that: Very short flights will be the first to go. A trip that can be done by train in two to three hours or so makes no sense at all by plane. That's not just many domestic flights in European countries but also many short cross-border hops.
In the longer run flying will have to become more climate friendly. In the meantime it will become more expensive. That's not a bad thing. Just check
https://www.flightradar24.com/48.64,7.7/5 for a quick look at just how many airplanes there are in the sky in Western Europe at this moment. It's crazy.
I am actually looking forward to less crowded airports and to flying perhaps becoming something a little bit special again.